OFFSET
0,3
COMMENTS
Inspired by Peter Bala's formula in A229046.
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..400
EXAMPLE
G.f.: A(x) = 1 + x + 2*x^2 + 7*x^3 + 25*x^4 + 108*x^5 + 525*x^6 +...
where
A(x) = 1/((1+x)*(1-x)) + x/((1+x)^3*(1-3*x)) + x^2/((1+x)^5*(1-5*x))+ x^3/((1+x)^7*(1-7*x))+ x^4/((1+x)^9*(1-9*x)) + x^5/((1+x)^11*(1-11*x)) +...
PROG
(PARI) {a(n)=polcoeff( sum(m=0, n, x^m/((1+x)^(2*m+1)*(1 - (2*m+1)*x) +x*O(x^n))), n)}
for(n=0, 30, print1(a(n), ", "))
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jul 15 2014
STATUS
approved